Electrostatics 2 Question 20

21. For spherical symmetrical charge distribution, variation of electric potential with distance from centre is given in diagram. Given that

(2006, 5M)

$ V=\frac{q}{4 \pi \varepsilon_{0} R_{0}} \text { for } r \leq R_{0} \text { and } V=\frac{q}{4 \pi \varepsilon_{0} r} \text { for } r \geq R_{0} $

Then, which option(s) are correct

(a) Total charge within $2 R_{0}$ is $q$

(b) Total electrostatic energy for $r \leq R_{0}$ is zero

(c) At $r=R_{0}$ electric field is discontinuous

(d) There will be no charge anywhere except at $r=R_{0}$

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Answer:

Correct Answer: 21. (a, b, c, d)

Solution:

  1. The given graph is of charged conducting sphere of radius $R_{0}$. The whole charge $q$ distributes on the surface of the sphere.


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